The 16th KMGS will be held on March 16th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Wonyong Jang(장원용) from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
Slot (AM 11:50~PM 12:30)
[Speaker] Wonyong Jang(장원용) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Hyungryul Baik (백형렬 교수님)
[Title] On the freeness of groups generated by two parabolic matrices
[Discipline] Geometric Group Theory
[Abstract]
For complex number $\alpha$, let $ A = \begin{bmatrix}
1 & 1 \ 0 & 1
\end{bmatrix}$ and
$B = \begin{bmatrix}
1 & 0 \ \alpha & 1
\end{bmatrix} $
be two parabolic matrices and let $G_\alpha$ be the group generated by these two matrices.
Determining whether $G_\alpha$ is the free group rank 2 or not, is one of the important problems.
In this talk, I will introduce a geometric aspect of the group $G_\alpha$ and give previous results of the problem.
Next, I will introduce my work joint with KyeongRo Kim.
[Language] Korean